Vortex solutions of the generalized Beltrami flows to the incompressible Euler equations
Minoru Fujimoto, Kunihiko Uehara, Shinichiro Yanase
TL;DR
This paper introduces a new series of vortex solutions for generalized Beltrami flows in incompressible Euler equations, expanding beyond the classical Hill's vortex solutions.
Contribution
It presents a novel set of vortex solutions for generalized Beltrami flows, extending the known solutions beyond the traditional Hill's vortex.
Findings
New vortex solutions for generalized Beltrami flows
Extension beyond classical Hill's vortex solutions
Enhances understanding of flow structures in Euler equations
Abstract
As for the solutions of the generalized Beltrami flows to the incompressible Euler equations besides the solutions separating radius and axial components, there are only several solutions found as the Hill's vortex solutions. We will present a series of vortex solutions in this category for the generalized Beltrami flows to the incompressible Euler equations.
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Taxonomy
TopicsFluid Dynamics and Turbulent Flows · Tribology and Lubrication Engineering · Aerodynamics and Fluid Dynamics Research